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Finding the Fourth Proportional to 1,061.12, 1,591.62 and 291.62

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Solution

The fourth proportional to 1,061.12, 1,591.62 and 291.62 is: 437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.12 : 1,591.62 = 291.62 : x
  2. Step 2: Convert to fraction form
    1,061.12/1,591.62 = 291.62/x
  3. Step 3: Cross multiply
    1,061.12x = 1,591.62 × 291.62
  4. Step 4: Simplify right side
    1,061.12x = 464,148.22
  5. Step 5: Solve for x
    x = 464,148.22/1,061.12
  6. Step 6: Final answer
    x = 437.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.